03110nam 2200589 450 991048002430332120170828133216.00-8218-8213-9(CKB)3240000000070057(EBL)3113403(SSID)ssj0000629250(PQKBManifestationID)11369984(PQKBTitleCode)TC0000629250(PQKBWorkID)10718043(PQKB)10783492(MiAaPQ)EBC3113403(PPN)197108636(EXLCZ)99324000000007005720100810h20112011 uy| 0engur|n|---|||||txtccrAspects of operator algebras and applications UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 /Pere Ara, Fernando Lledó, Francesc Perera, editorsProvidence, Rhode Island :American Mathematical Society ;[Madrid, Spain] :Real Sociedad Matemática Española,[2011]©20111 online resource (178 p.)Contemporary mathematics ;volume 534Description based upon print version of record.0-8218-4905-0 Includes bibliographical references.""Contents""; ""Preface""; ""K-Theory For Operator Algebras. Classification Of C*-Algebras""; ""1. Introduction""; ""2. The Cuntz Semigroup: Definitions, Historical Origin And Technical Devices""; ""3. Hilbert C*-Modules. Kasparov'S Theorem""; ""4. The Category Cu""; ""5. Classification Of C*-Algebras""; ""References""; ""Modular Theory By Example""; ""1. Introduction""; ""2. Modular Theory: Definitions, Results And First Examples""; ""3. Modular Objects For A Crossed Product""; ""4. Modular Objects For The Car-Algebra""; ""5. Some Classical Applications Of Modular Theory""""6. Appendix: Crossed Products And The Car-Algebra""""References""; ""Modular Theory For The Von Neumann Algebras Of Local Quantum Physics""; ""1. Introduction""; ""2. Free Quantum Fields And Local Quantum Theories""; ""3. Bisognano-Wichmann Relations.""; ""4. Modular Covariance And Modular Localization.""; ""References""; ""The Symbiosis Of C*- And W*-Algebras""; ""Appendix: Basic Definitions And Results For Operator Algebras""; ""1. Introduction""; ""2. C*-Algebras""; ""3. Von Neumann Algebras""; ""References""Contemporary mathematics (American Mathematical Society) ;v. 534.Operator algebrasCongressesOperator theoryCongressesElectronic books.Operator algebrasOperator theory512.556Ara Pere1959-Lledo Fernando1967-Perera Francesc1970-UIMP-RSME Santalâo Summer SchoolMiAaPQMiAaPQMiAaPQBOOK9910480024303321Aspects of operator algebras and applications766415UNINA